Given numbers are 805,146,314,260

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 805,146,314,260 is 479757460.

Find LCM of 805,146,314,260 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 5 x 161 x 73 x 157 x 26 = 479757460

Therefore, the lowest common multiple of 805,146,314,260 is 479757460.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

805 x 146 x 314 x 260 = 9595149200

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

805 : 1, 5, 7, 23, 35, 115, 161, 805

146 : 1, 2, 73, 146

314 : 1, 2, 157, 314

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 805,146,314,260, is 1.

Now, the common factors can be found like this.

805:5x 7x 23

146:2x 73

314:2x 157

260:2x 2x 5x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 5 = 20

Therefore, the value for common factors is 20.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 9595149200/(1x20)

LCM = 9595149200/20

LCM = 479757460

Thus, we can understand that the LCM of 805,146,314,260 is 479757460.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 778, 446, 348, 386
• LCM of 370, 392, 230, 287
• LCM of 689, 159, 142, 572
• LCM of 854, 242, 456, 405
• LCM of 181, 180, 658, 590

1. What is the LCM of 805, 146, 314, 260?

Answer: LCM of 805, 146, 314, 260 is 479757460.

2. How to calculate the LCM of 805, 146, 314, 260?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 805, 146, 314, 260.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.